TL;DR
This paper calculates the Casimir energy in various dimensions for a field with deformed Poisson brackets that imply a minimal length, exploring quantum effects in modified geometries.
Contribution
It introduces a method to compute Casimir energy considering deformed phase space with minimal length implications.
Findings
Casimir energy computed in 1D, 2D, and 3D spaces.
Shows effects of phase space deformation on quantum vacuum energy.
Provides a framework for minimal length quantum field theories.
Abstract
The Casimir energy is calculated in one-, two-, and three-dimensional spaces for the field with generalized coordinates and momenta satisfying the deformed Poisson brackets leading to the minimal length.
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